5017112656677 has 72 divisors (see below), whose sum is σ = 8543758961088. Its totient is φ = 2808177926400.

The previous prime is 5017112656669. The next prime is 5017112656697. The reversal of 5017112656677 is 7766562117105.

5017112656677 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 1 + 1 + 2 + 6 + 566 + 77 = 666.

5017112656677 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5017112656677 - 2³ = 5017112656669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017112656607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 604977 + ... + 3224937.

It is an arithmetic number, because the mean of its divisors is an integer number (118663318904).

Almost surely, 2^{5017112656677} is an apocalyptic number.

It is an amenable number.

5017112656677 is a deficient number, since it is larger than the sum of its proper divisors (3526646304411).

5017112656677 is a wasteful number, since it uses less digits than its factorization.

5017112656677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620059 (or 2620027 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 5017112656677 in words is "five trillion, seventeen billion, one hundred twelve million, six hundred fifty-six thousand, six hundred seventy-seven".